On the selection of the classical limit for potentials with BV derivatives

Details On the selection of the classical limit for potentials with BV derivatives On the selection of the classical limit for potentials with BV derivatives

2012-01-26

arxiv.org/abs/1201.5622v1

Mathematics

Analysis of PDEs

Scientific paper

We consider the classical limit of the quantum evolution, with some rough
potential, of wave packets concentrated near singular trajectories of the
underlying dynamics. We prove that under appropriate conditions, even in the
case of BV vector fields, the correct classical limit can be selected.

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